Bifurcation Behavior Analysis and Stability Region Discrimination for Series-Parallel Architecture Electric Energy Router

Xiaojun Zhao, Zehui Zhang, Chunjiang Zhang, Xiaohuan Wang, Zhongnan Guo
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Abstract

Electric energy routers (EERs) can effectively deal with the energy management issues caused by the access of multi-sources and multi-loads. Different from the energy transmission form in the existing series architecture EER (SA-EER) for low-voltage distribution networks, a new series-parallel architecture EER (SPA-EER) has the advantages of high-power transmission capability and reactive power flexible operation. However, if controller parameters change beyond their critical stability boundaries, SPA-EER will produce slow- and fast-scale bifurcation behaviors, which are manifested as low- and high-frequency oscillations of port voltages or port currents in varying degrees. To avoid the system instability caused by controller parameter changes, how to discriminate the stability regions of controller parameters for SPA-EER is a key research content in this paper. To this end, the stroboscopic mapping discrete model of SPA-EER system is first established, and system bifurcation behaviors are analyzed based on bifurcation theory. Furthermore, the critical stability boundaries of controller parameters are discriminated by using Jacobian matrix, root locus and bifurcation diagram. After that, a time delay feedback control (TDFC) is employed to suppress system bifurcation behaviors. Finally, the correctness of bifurcation analysis and the effectiveness of TDFC are verified by a hardware-in-the-loop (HIL) experimental platform.
串并联结构电能路由器的分岔行为分析及稳定区域判别
电能路由器可以有效地解决多源、多负荷接入带来的电能管理问题。不同于现有的低压配电网串联结构EER (SA-EER)的能量传输形式,新型串并联结构EER (SPA-EER)具有功率传输能力强、无功运行灵活等优点。但是,当控制器参数超出其临界稳定边界时,SPA-EER会产生慢尺度和快尺度的分岔行为,表现为不同程度的端口电压或端口电流的低频和高频振荡。为避免控制器参数变化引起的系统不稳定,如何判别控制器参数的稳定区域是本文的重点研究内容。为此,首先建立了SPA-EER系统频闪映射离散模型,并基于分岔理论分析了系统的分岔行为。利用雅可比矩阵、根轨迹和分岔图判别控制器参数的临界稳定边界。然后,采用时延反馈控制(TDFC)抑制系统的分岔行为。最后,通过硬件在环(HIL)实验平台验证了分岔分析的正确性和TDFC的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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